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Finding the Fourth Proportional to 284,390.64, 392,456.68 and 157,063.50

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Solution

The fourth proportional to 284,390.64, 392,456.68 and 157,063.50 is: 216,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,390.64 : 392,456.68 = 157,063.50 : x
  2. Step 2: Convert to fraction form
    284,390.64/392,456.68 = 157,063.50/x
  3. Step 3: Cross multiply
    284,390.64x = 392,456.68 × 157,063.50
  4. Step 4: Simplify right side
    284,390.64x = 61,640,618,973.86
  5. Step 5: Solve for x
    x = 61,640,618,973.86/284,390.64
  6. Step 6: Final answer
    x = 216,746.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.